Question

x/2 - 1/5=x/3+1/4 what is answer​

Answer 1

Answer:

27/10 or 2.7

Step-by-step explanation:

x/2 - 1/5 = x/3 + 1/4

that is,x/2 - x/3 = 1/4 + 1/5

LCM of 2 and 3 is 6 and LCM of 4 and 5 is 20.

so,(3×x)/3×2 - 2×x/2×3 = 1×5/4×5 + 1×4/5×4

that is, 3x/6 - 2x/6 = 5/20 + 4/20

that is,(3x - 2x)/6 = (5+4)/20

that is, x/6 = 9/20

hence, x = (6×9)/20 = 27/10 or 2.7

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

$\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}$

$= > \frac{5x - 2}{10} = \frac{4x + 3}{12}$

$= > 12(5x - 2) = 10(4x + 3)$

$= > 60x - 24 = 40x + 30$

$= > 20x = 54$

$\bold{= > x = \frac{54}{20} = \frac{27}{10}}$

Check:-

$= > \frac{x}{2} - \frac{1}{5} = \frac{ \frac{27}{10} }{2} - \frac{1}{5} = \frac{27}{20} - \frac{1}{5}$

$= \frac{27 - 4}{20} = \frac{23}{20}$

L.H.S=$\frac{23}{20}$

$= > \frac{x}{3} + \frac{1}{4} = \frac{ \frac{27}{10} }{3} + \frac{1}{4} = \frac{27}{30} + \frac{1}{4}$

$= \frac{9}{10} + \frac{1}{4} = \frac{18 + 5}{20} = \frac{23}{20} (R.H.S)$

THEREFORE,L.H.S=R.H.S